Random bond Ising systems on a general hierarchical lattice are considered. Interesting inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed point are obtained. These lead to upper bounds on the crossover exponents {phi(i)}.
机构:
Tohoku Univ, Grad Sch Informat Sci, Sendai 9808579, Japan
Inst Sci Tokyo, Dept Phys, Tokyo 1528551, Japan
Sigma I Co Ltd, Tokyo 1080075, JapanTohoku Univ, Grad Sch Informat Sci, Sendai 9808579, Japan